Pith Number

pith:24QCEUXX

pith:2026:24QCEUXXVMFVGAGPL3JVIQGEWI

not attested not anchored not stored refs pending

Binomial sequences over prime fields

Miguel Beltr\'a, Sara D. Cardell, Ver\'onica Requena

arxiv:2606.25109 v1 · 2026-06-23 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24QCEUXXVMFVGAGPL3JVIQGEWI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-25T00:18:18.324162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7202252f7ab0b5300cf5ed35440c4b22abe244d56124f36e37ba9deb1e184b8

Aliases

arxiv: 2606.25109 · arxiv_version: 2606.25109v1 · doi: 10.48550/arxiv.2606.25109 · pith_short_12: 24QCEUXXVMFV · pith_short_16: 24QCEUXXVMFVGAGP · pith_short_8: 24QCEUXX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/24QCEUXXVMFVGAGPL3JVIQGEWI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d7202252f7ab0b5300cf5ed35440c4b22abe244d56124f36e37ba9deb1e184b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89986f9c176e27ad166f1899034c0eeeb59314f0e42fc7f83d86c4de05237844",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T19:30:03Z",
    "title_canon_sha256": "539b07a18e0c3bdbf998bcd1d62b131b86bdb1618d50af4771ef296a64b19e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25109",
    "kind": "arxiv",
    "version": 1
  }
}